109001158560 has 432 divisors, whose sum is σ = 447624613800. Its totient is φ = 24054976512.

The previous prime is 109001158543. The next prime is 109001158633. The reversal of 109001158560 is 65851100901.

109001158560 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 0 + 11 + 585 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63800697744 + 45200460816 = 252588^2 + 212604^2 .

It is a super-2 number, since 2×109001158560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2019606 + ... + 2072874.

Almost surely, 2^109001158560 is an apocalyptic number.

109001158560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109001158560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223812306900).

109001158560 is an abundant number, since it is smaller than the sum of its proper divisors (338623455240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109001158560 is a wasteful number, since it uses less digits than its factorization.

109001158560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53333 (or 53315 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 109001158560 in words is "one hundred nine billion, one million, one hundred fifty-eight thousand, five hundred sixty".